Applied Mechanics and Graphic Statics
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

119.5 mm from A
132.5 mm from A
109.5 mm from A
125.5 mm from A

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Applied Mechanics and Graphic Statics
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

Difference of the forces multiplied by cosine θ°
Sum of the forces multiplied by the tangent θ°
Arithmetical sum of the resolved parts of the forces in the direction
Algebraic sum of the resolved parts of the forces in the direction

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Applied Mechanics and Graphic Statics
A point subjected to a number of forces will be in equilibrium, if

Algebraic sum of the moments of the forces about the point is zero
Two resolved parts in any two directions at right angles are equal
Algebraic sum of the forces is zero
Sum of resolved parts in any two directions at right angles, are both zero

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